Значения параметров

Рис. 2 – Исследуемая схема электрической цепи
Zab=-jXCab=-j10=10⋅e-j90∘ Ом;
Zbc=Rbc-jXCbc=3-j4=5⋅e-j53.13∘ Ом;
Zca=Rca+jXLca=8+j6=10⋅e-j36.87∘ Ом.
Uab=UAB=U=220 В;
Ubc=UBC=U⋅e-j120∘=220⋅e-j120∘=-110-j190.53 В;
Uca=UCA=U⋅ej120∘=220⋅ej120∘=-110+j190.53 В.
Iab=UabZab=22010⋅e-j90∘=22⋅ej90∘=j22 А;
Ibc=UbcZbc=220⋅e-j120∘5⋅e-j53.13∘=44⋅e-j66.87∘=(17.28-j40.46) А;
Ica=UcaZca=220⋅ej120∘10⋅e-j36.87∘=22⋅ej83.13∘=2.63+j21.84 А.
IA=Iab-Ica=j22-2.63+j21.84=-2.63+j0.16=2.64⋅ej176.57∘ А;
IB=Ibc-Iab=17.28-j40.46-j22=17.28-j62.46=64.81⋅e-j74.53∘ А;
IC=Ica-Ibc=2.63+j21.84-17.28-j40.46=-14.65+j62.31=64⋅ej103.23∘ А.
Sab=Uab⋅Iab*=220⋅22⋅e-j90∘=4.84⋅103⋅e-j90∘=-j4.84⋅103 ВА;
Sbc=Ubc⋅Ibc*=220⋅e-j120∘⋅44⋅ej66.87∘=9.68⋅103⋅e-j53.13∘=(5.81-j7.74)⋅103 ВА;
Sca=Uca⋅Ica*=220⋅ej120∘⋅22⋅e-j83.13∘=4.84⋅103⋅ej36.87∘=3.84+j2.90⋅103 ВА.
Pab=ReSab=Re-j4.84⋅103=0 Вт;
Pbc=ReSbc=Re(5.81-j7.74)⋅103=5.81⋅103 Вт=5.81 кВт;
Pca=ReSca=Re(3.84+j2.90)⋅103=3.84⋅103 Вт=3.84 кВт;
P=Pab+Pbc+Pca=0+5.81⋅103+3.84⋅103=9.65⋅103 Вт=9.65 кВт.
Рис